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Finding the Fourth Proportional to 644,988.70, 967,151.22 and 289,697.86

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Solution

The fourth proportional to 644,988.70, 967,151.22 and 289,697.86 is: 434,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,988.70 : 967,151.22 = 289,697.86 : x
  2. Step 2: Convert to fraction form
    644,988.70/967,151.22 = 289,697.86/x
  3. Step 3: Cross multiply
    644,988.70x = 967,151.22 × 289,697.86
  4. Step 4: Simplify right side
    644,988.70x = 280,181,638,730.39
  5. Step 5: Solve for x
    x = 280,181,638,730.39/644,988.70
  6. Step 6: Final answer
    x = 434,397.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.